Math, asked by anayshree562d2, 5 months ago

A ladder 10 m long reaches a window 8 m above the ground. The distance of the foot of the ladder from the base of the wall is ?​

Answers

Answered by shiksharathore13
48

Step-by-step explanation:

Applying "Pythagoras Property"

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Answered by pandaXop
72

Distance = 6 m

Step-by-step explanation:

Given:

  • Length of ladder is 10 m.
  • Length of window is 8 m.

To Find:

  • Distance of foot of ladder from base of wall ?

Solution: Let AC be a ladder , AB be a window and BC be the distance of between foot of ladder and base of wall.

Now in right angled triangle we have

  • AB = perpendicular (8 m)
  • AC = hypotenuse (10 m)
  • BC = base
  • ∠B = 90°

Applying Pythagoras Theorem in ∆ABC

★ H² = Perpendicular² + Base² ★

\implies{\rm } 10² = 8² + b²

\implies{\rm } 10 × 10 = 8 × 8 + b²

\implies{\rm } 100 = 64 + b²

\implies{\rm } 100 – 64 = b²

\implies{\rm } 36 = b²

\implies{\rm } √36 = b

\implies{\rm } √6 × 6 = b

\implies{\rm } 6 = b

Hence, the distance between foot of ladder from base of wall is 6 m.

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amitkumar44481: Perfect :-)
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